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Finding the Fourth Proportional to 549,761.80, 824,642.70 and 194,811.70

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Solution

The fourth proportional to 549,761.80, 824,642.70 and 194,811.70 is: 292,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,761.80 : 824,642.70 = 194,811.70 : x
  2. Step 2: Convert to fraction form
    549,761.80/824,642.70 = 194,811.70/x
  3. Step 3: Cross multiply
    549,761.80x = 824,642.70 × 194,811.70
  4. Step 4: Simplify right side
    549,761.80x = 160,650,046,279.59
  5. Step 5: Solve for x
    x = 160,650,046,279.59/549,761.80
  6. Step 6: Final answer
    x = 292,217.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.